Methods of Fundamental Solutions in Solid Mechanics

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Release : 2019-06-06
Genre : Technology & Engineering
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Book Rating : 849/5 ( reviews)

Methods of Fundamental Solutions in Solid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Methods of Fundamental Solutions in Solid Mechanics write by Hui Wang. This book was released on 2019-06-06. Methods of Fundamental Solutions in Solid Mechanics available in PDF, EPUB and Kindle. Methods of Fundamental Solutions in Solid Mechanics presents the fundamentals of continuum mechanics, the foundational concepts of the MFS, and methodologies and applications to various engineering problems. Eight chapters give an overview of meshless methods, the mechanics of solids and structures, the basics of fundamental solutions and radical basis functions, meshless analysis for thin beam bending, thin plate bending, two-dimensional elastic, plane piezoelectric problems, and heat transfer in heterogeneous media. The book presents a working knowledge of the MFS that is aimed at solving real-world engineering problems through an understanding of the physical and mathematical characteristics of the MFS and its applications. Explains foundational concepts for the method of fundamental solutions (MFS) for the advanced numerical analysis of solid mechanics and heat transfer Extends the application of the MFS for use with complex problems Considers the majority of engineering problems, including beam bending, plate bending, elasticity, piezoelectricity and heat transfer Gives detailed solution procedures for engineering problems Offers a practical guide, complete with engineering examples, for the application of the MFS to real-world physical and engineering challenges

Meshless Methods in Solid Mechanics

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Release : 2006-12-31
Genre : Science
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Book Rating : 681/5 ( reviews)

Meshless Methods in Solid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Meshless Methods in Solid Mechanics write by Youping Chen. This book was released on 2006-12-31. Meshless Methods in Solid Mechanics available in PDF, EPUB and Kindle. This book covers the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are provided on an included disc.

Engineering Solid Mechanics

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Release : 2018-02-06
Genre : Science
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Book Rating : 913/5 ( reviews)

Engineering Solid Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Engineering Solid Mechanics write by Abdel-Rahman A. Ragab. This book was released on 2018-02-06. Engineering Solid Mechanics available in PDF, EPUB and Kindle. Engineering Solid Mechanics bridges the gap between elementary approaches to strength of materials and more advanced, specialized versions on the subject. The book provides a basic understanding of the fundamentals of elasticity and plasticity, applies these fundamentals to solve analytically a spectrum of engineering problems, and introduces advanced topics of mechanics of materials - including fracture mechanics, creep, superplasticity, fiber reinforced composites, powder compacts, and porous solids. Text includes: stress and strain, equilibrium, and compatibility elastic stress-strain relations the elastic problem and the stress function approach to solving plane elastic problems applications of the stress function solution in Cartesian and polar coordinates Problems of elastic rods, plates, and shells through formulating a strain compatibility function as well as applying energy methods Elastic and elastic-plastic fracture mechanics Plastic and creep deformation Inelastic deformation and its applications This book presents the material in an instructive manner, suitable for individual self-study. It emphasizes analytical treatment of the subject, which is essential for handling modern numerical methods as well as assessing and creating software packages. The authors provide generous explanations, systematic derivations, and detailed discussions, supplemented by a vast variety of problems and solved examples. Primarily written for professionals and students in mechanical engineering, Engineering Solid Mechanics also serves persons in other fields of engineering, such as aerospace, civil, and material engineering.

Fundamental Solutions in Elastodynamics

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Release : 2006-02-13
Genre : Science
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Book Rating : 709/5 ( reviews)

Fundamental Solutions in Elastodynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fundamental Solutions in Elastodynamics write by E. Kausel. This book was released on 2006-02-13. Fundamental Solutions in Elastodynamics available in PDF, EPUB and Kindle. This work contains fundamental solutions for classical, canonical, elastodynamics problems using common format and notation.

Fundamental Solutions in Elastodynamics

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Release : 2006-02-13
Genre : Technology & Engineering
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Book Rating : 684/5 ( reviews)

Fundamental Solutions in Elastodynamics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fundamental Solutions in Elastodynamics write by Eduardo Kausel. This book was released on 2006-02-13. Fundamental Solutions in Elastodynamics available in PDF, EPUB and Kindle. This work is a compilation of fundamental solutions (or Green's functions) for classical or canonical problems in elastodynamics presented with a common format and notation. These formulas describe the displacements and stresses elicited by dynamic sources in solid elastic media like full spaces, half-spaces, strata and plates in both two and three dimensions, using the three major coordinate systems (Cartesian, cylindrical and spherical), and also for transient and harmonic motions. Such formulas are useful for numerical methods and practical application to problems of wave propagation in elasticity, soil dynamics, earthquake engineering, mechanical vibration, or geophysics. These formulas were heretofore only found scattered throughout the literature. The solutions are tabulated without proof, but giving reference to appropriate modern papers and books containing full derivations. Most formulas in the book have been programmed and tested within the MATLAB environment. The program listings are available for free download on the book's website.